Enlarge sobol sampling space

Hi,

I am making a dynamic design space in matlab. So for each time point the design space (parameter space) shifts a little bit depending on the machine capabilities. For each design space (at each time point) i am performing a sobol sampling in the entire parameter space. But because of the large overlap between the parameter spaces at different timepoints, i do not want recalculate all the sobol sampling points of the shared parameter space, i just want to enlarge the parameter space but the sobol sampling should still be quasi-uniformily devided over the entire new parameter space. So the new sobol sampling point of the added parameter space should be selected taking in account the prevouis sampling point.

Do someone has an idea how to implement this in matlab? or is there already a function in matlab for this?

best regards